Question

Can someone show me the work for this?

Answer 1

We are given the equation or function  y = sqrt (2x + 1). The derivative of the equation is expressed as 

1. dy/dt = 0.5 *2 *(2x + 1)^-0.5 dx/dt
when x = 4 and dx/dt =3
dy/dt = 0.5 *2 *3*(2*4 + 1)^-0.5 
dy/dt = 1

2. dy/dt = 0.5 *2 *(2x + 1)^-0.5 dx/dt
 If dy/dt = 5, find dx/dt when x = 12.
    5= 0.5 *2 (2*12 + 1)^-0.5 dx/dt
   dx/dt = 1